Intuitionistic Fuzzy Soft Rough Set and Its Application in Decision Making
The soft set theory, originally proposed by Molodtsov, can be used as a general mathematical tool for dealing with uncertainty. In this paper, we present concepts of soft rough intuitionistic fuzzy sets and intuitionistic fuzzy soft rough sets, and investigate some properties of soft rough intuition...
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| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
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Wiley
2014-01-01
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| Series: | Abstract and Applied Analysis |
| Online Access: | http://dx.doi.org/10.1155/2014/287314 |
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| _version_ | 1832551453212803072 |
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| author | Haidong Zhang Lan Shu Shilong Liao |
| author_facet | Haidong Zhang Lan Shu Shilong Liao |
| author_sort | Haidong Zhang |
| collection | DOAJ |
| description | The soft set theory, originally proposed by Molodtsov, can be used as a general mathematical tool for dealing with uncertainty. In this paper, we present concepts of soft rough intuitionistic fuzzy sets and intuitionistic fuzzy soft rough sets, and investigate some properties of soft rough intuitionistic fuzzy sets and intuitionistic fuzzy soft rough sets in detail. Furthermore, classical representations of intuitionistic fuzzy soft rough approximation operators are presented. Finally, we develop an approach to intuitionistic fuzzy soft rough sets based on decision making and a numerical example is provided to illustrate the developed approach. |
| format | Article |
| id | doaj-art-38c9be6bcf384e10a01c338b17109e47 |
| institution | Kabale University |
| issn | 1085-3375 1687-0409 |
| language | English |
| publishDate | 2014-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Abstract and Applied Analysis |
| spelling | doaj-art-38c9be6bcf384e10a01c338b17109e472025-02-03T06:01:23ZengWileyAbstract and Applied Analysis1085-33751687-04092014-01-01201410.1155/2014/287314287314Intuitionistic Fuzzy Soft Rough Set and Its Application in Decision MakingHaidong Zhang0Lan Shu1Shilong Liao2School of Mathematical Sciences, University of Electronic Science and Technology of China, Chengdu, Sichuan 611731, ChinaSchool of Mathematical Sciences, University of Electronic Science and Technology of China, Chengdu, Sichuan 611731, ChinaSchool of Mathematics and Computer Science, Northwest University for Nationalities, Lanzhou, Gansu 730030, ChinaThe soft set theory, originally proposed by Molodtsov, can be used as a general mathematical tool for dealing with uncertainty. In this paper, we present concepts of soft rough intuitionistic fuzzy sets and intuitionistic fuzzy soft rough sets, and investigate some properties of soft rough intuitionistic fuzzy sets and intuitionistic fuzzy soft rough sets in detail. Furthermore, classical representations of intuitionistic fuzzy soft rough approximation operators are presented. Finally, we develop an approach to intuitionistic fuzzy soft rough sets based on decision making and a numerical example is provided to illustrate the developed approach.http://dx.doi.org/10.1155/2014/287314 |
| spellingShingle | Haidong Zhang Lan Shu Shilong Liao Intuitionistic Fuzzy Soft Rough Set and Its Application in Decision Making Abstract and Applied Analysis |
| title | Intuitionistic Fuzzy Soft Rough Set and Its Application in Decision Making |
| title_full | Intuitionistic Fuzzy Soft Rough Set and Its Application in Decision Making |
| title_fullStr | Intuitionistic Fuzzy Soft Rough Set and Its Application in Decision Making |
| title_full_unstemmed | Intuitionistic Fuzzy Soft Rough Set and Its Application in Decision Making |
| title_short | Intuitionistic Fuzzy Soft Rough Set and Its Application in Decision Making |
| title_sort | intuitionistic fuzzy soft rough set and its application in decision making |
| url | http://dx.doi.org/10.1155/2014/287314 |
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